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1426325136 = 243193743983
BaseRepresentation
bin101010100000011…
…1111111010010000
310200101212211020220
41111000333322100
510410114401021
6353311033040
750226364215
oct12500777220
93611784226
101426325136
1167213a205
1233980b780
13199667b92
14d7605b0c
1585344cc6
hex5503fe90

1426325136 has 160 divisors (see below), whose sum is σ = 4080215040. Its totient is φ = 427617792.

The previous prime is 1426325129. The next prime is 1426325141. The reversal of 1426325136 is 6315236241.

It is a junction number, because it is equal to n+sod(n) for n = 1426325097 and 1426325106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450501 + ... + 1451483.

It is an arithmetic number, because the mean of its divisors is an integer number (25501344).

Almost surely, 21426325136 is an apocalyptic number.

1426325136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426325136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040107520).

1426325136 is an abundant number, since it is smaller than the sum of its proper divisors (2653889904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1426325136 is a wasteful number, since it uses less digits than its factorization.

1426325136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 1426325136 is about 37766.7199528897. The cubic root of 1426325136 is about 1125.6572649154.

The spelling of 1426325136 in words is "one billion, four hundred twenty-six million, three hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 43 48 57 74 76 86 111 114 129 148 152 172 222 228 258 296 304 344 444 456 516 592 688 703 817 888 912 983 1032 1406 1591 1634 1776 1966 2064 2109 2451 2812 2949 3182 3268 3932 4218 4773 4902 5624 5898 6364 6536 7864 8436 9546 9804 11248 11796 12728 13072 15728 16872 18677 19092 19608 23592 25456 30229 33744 36371 37354 38184 39216 42269 47184 56031 60458 72742 74708 76368 84538 90687 109113 112062 120916 126807 145484 149416 169076 181374 218226 224124 241832 253614 290968 298832 338152 362748 436452 448248 483664 507228 581936 676304 691049 725496 803111 872904 896496 1014456 1382098 1450992 1563953 1606222 1745808 2028912 2073147 2409333 2764196 3127906 3212444 4146294 4691859 4818666 5528392 6255812 6424888 8292588 9383718 9637332 11056784 12511624 12849776 16585176 18767436 19274664 25023248 29715107 33170352 37534872 38549328 59430214 75069744 89145321 118860428 178290642 237720856 356581284 475441712 713162568 1426325136